Need help for a Challenging aggregation

Let me first tell the scenario;

Main Measure is the HOURLY PRODUCTION AMOUNT ([Measures].[Production]) of various factories. Dimensions are Dim_Factory, Dim_Date, Dim_Hour. SUM aggregation was sufficient until now. But from now on there will be a PEAK_Production and PEAK_Production_Contrubution (per factory) analysis. 

PEAK_Production = the Production data of the HOUR where the MAX Production has been made. (Sum within Factories and after that MAX within HOURS give me data = How?) Retrieving the Max data is not enough i will also need to display the relevant HOUR and DATE next to it.

ex of some analysis:

as u can see the combined production times of factories can -and generally will- be different.

Another analytic measure; PEAK_Production_Contrubution is The Hourly production of a Factory when the Combined PEAK_Production occurs. for ex lets say when JULY 2012's peak occured in 10th of July with 25000 tons at 16:00, Fatory1's 16:00 production value is its PEAK_Production_Contrubution in this time frame.

So this data analysis is strictly dependent on time dimension, and i don't know how to re-construct this cube? Maybe i will be better with T-SQL and views but this is an hourly data and it will get extremely large.

Any suggestions will be appreciated. Thanks in advance.

! LiVe By ThE cOdE, DiE bY tHe CoDe !